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Hook formula for Coxeter groups via the twisted group ring.
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- Proceedings of the Japan Academy, Series A: Mathematical Sciences, 2024, v. 100, n. 6, p. 31, doi. 10.3792/pjaa.100.007
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The Universe Inside Hall Algebras of Coherent Sheaves on Toric Resolutions.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 10, p. 8653, doi. 10.1093/imrn/rnad323
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- Article
Monodromy of the Casimir connection of a symmetrisable Kac–Moody algebra.
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- Inventiones Mathematicae, 2024, v. 236, n. 2, p. 549, doi. 10.1007/s00222-024-01242-8
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Rigid vacua with Brane Supersymmetry Breaking.
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- Journal of High Energy Physics, 2024, v. 2024, n. 4, p. 1, doi. 10.1007/JHEP04(2024)103
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New Types of Derivative Non-linear Schrödinger Equations Related to Kac–Moody Algebra A 2 (1).
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- Dynamics (2673-8716), 2024, v. 4, n. 1, p. 81, doi. 10.3390/dynamics4010005
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Warped conformal symmetries of the accelerating Kerr black hole.
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- Journal of High Energy Physics, 2024, v. 2024, n. 3, p. 1, doi. 10.1007/JHEP03(2024)050
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Finite Dimensional Modules over Indefinite Kac–Moody Lie Algebras.
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- Frontiers of Mathematics, 2024, v. 19, n. 1, p. 161, doi. 10.1007/s11464-022-0072-8
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Kato's irreducibility criterion for Kac-Moody groups over local fields.
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- Representation Theory, 2023, v. 27, p. 1208, doi. 10.1090/ert/665
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SPECIAL NILPOTENT LIE ALGEBRAS.
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- Algebras, Groups & Geometries, 2023, v. 39, n. 2, p. 221, doi. 10.29083/AGG.39.02.2023/SC221
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Nets in P2 and Alexander Duality.
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- Discrete & Computational Geometry, 2023, v. 70, n. 4, p. 1840, doi. 10.1007/s00454-023-00504-1
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On the Structure of Quantum Toroidal Superalgebra ℰm|n.
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- Acta Mathematica Sinica, 2023, v. 39, n. 11, p. 2117, doi. 10.1007/s10114-023-2426-x
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Conformal blocks for Galois covers of algebraic curves.
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- Compositio Mathematica, 2023, v. 159, n. 10, p. 2191, doi. 10.1112/S0010437X23007418
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- Article
Quantum Affine Vertex Algebras Associated to Untwisted Quantum Affinization Algebras.
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- Communications in Mathematical Physics, 2023, v. 402, n. 3, p. 2577, doi. 10.1007/s00220-023-04778-7
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Faithful Representations of Finite Type for Conformal Lie Algebras.
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- Algebra & Logic, 2023, v. 62, n. 3, p. 272, doi. 10.1007/s10469-024-09741-6
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Kac-Moody symmetry in the light front of gauge theories.
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- Journal of High Energy Physics, 2023, v. 2023, n. 6, p. 1, doi. 10.1007/JHEP06(2023)165
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Realizations of A_1^{(1)}-modules in category \widetilde{\mathcal O}.
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- Representation Theory, 2023, v. 27, p. 149, doi. 10.1090/ert/632
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- Article
Non-Lorentzian Kač-Moody algebras.
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- Journal of High Energy Physics, 2023, v. 2023, n. 4, p. 1, doi. 10.1007/JHEP03(2023)041
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From Moyal deformations to chiral higher-spin theories and to celestial algebras.
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- Journal of High Energy Physics, 2023, v. 2023, n. 4, p. 1, doi. 10.1007/JHEP03(2023)062
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Space–time and large local transformations.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2023, v. 38, n. 8, p. 1, doi. 10.1142/S0217751X23500458
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On string functions and double-sum formulas.
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- Research in the Mathematical Sciences, 2023, v. 10, n. 2, p. 1, doi. 10.1007/s40687-023-00379-x
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Fermion realizations of generalized Kac–Moody and Virasoro algebras associated to the two-sphere and the two-torus.
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- Modern Physics Letters A, 2022, v. 37, n. 39/40, p. 1, doi. 10.1142/S0217732322502406
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Vertex operator for generalized Kac–Moody algebras associated to the two-sphere and the two-torus.
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- Modern Physics Letters A, 2022, v. 37, n. 37/38, p. 1, doi. 10.1142/S021773232250239X
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Semisymmetric Graphs Defined by Finite-Dimensional Generalized Kac–Moody Algebras.
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- Bulletin of the Malaysian Mathematical Sciences Society, 2022, v. 45, n. 6, p. 3293, doi. 10.1007/s40840-022-01380-3
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Shuhan图分类及其应用.
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- Journal of Dalian University of Technology / Dalian Ligong Daxue Xuebao, 2022, v. 62, n. 6, p. 650, doi. 10.7511/dllgxb202206013
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On the convergence of the Kac-Moody correction factor.
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- Mathematische Zeitschrift, 2022, v. 302, n. 3, p. 1323, doi. 10.1007/s00209-022-03101-9
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Simple Modules for Affine Vertex Algebras in the Minimal Nilpotent Orbit.
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- IMRN: International Mathematics Research Notices, 2022, v. 2022, n. 20, p. 15788, doi. 10.1093/imrn/rnab159
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Celestial Yang-Mills amplitudes and D = 4 conformal blocks.
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- Journal of High Energy Physics, 2022, v. 2022, n. 9, p. 1, doi. 10.1007/JHEP09(2022)182
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- Article
Finite Dimensional Simple Modules over Some GIM Lie Algebras.
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- Mathematics (2227-7390), 2022, v. 10, n. 15, p. 2658, doi. 10.3390/math10152658
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Real Hamiltonian forms of affine Toda field theories: Spectral aspects.
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- Theoretical & Mathematical Physics, 2022, v. 212, n. 2, p. 1053, doi. 10.1134/S0040577922080037
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Root components for tensor product of affine Kac-Moody Lie algebra modules.
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- Representation Theory, 2022, v. 26, p. 825, doi. 10.1090/ert/617
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Universal K-matrices for quantum Kac-Moody algebras.
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- Representation Theory, 2022, v. 26, p. 764, doi. 10.1090/ert/623
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Formal Shift Operator on the Yangian Double.
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- IMRN: International Mathematics Research Notices, 2022, v. 2022, n. 14, p. 10952, doi. 10.1093/imrn/rnab026
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Nonlinear evolution equations related to Kac-Moody algebras A<sub>r</sub><sup>(1)</sup>: spectral aspects.
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- Turkish Journal of Mathematics, 2022, v. 46, p. 1828, doi. 10.55730/1300-0098.3235
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New meromorphic CFTs from cosets.
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- Journal of High Energy Physics, 2022, v. 2022, n. 7, p. 1, doi. 10.1007/JHEP07(2022)152
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Generalised Chromatic Polynomials of Graphs from Heaps of Pieces.
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- Annals of Combinatorics, 2022, v. 26, n. 2, p. 345, doi. 10.1007/s00026-022-00571-w
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Relaxed highest-weight modules II: Classifications for affine vertex algebras.
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- Communications in Contemporary Mathematics, 2022, v. 24, n. 5, p. 1, doi. 10.1142/S0219199721500371
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Constructing a Lie group analog for the Monster Lie algebra.
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- Letters in Mathematical Physics, 2022, v. 112, n. 3, p. 1, doi. 10.1007/s11005-022-01531-4
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Representations of Involutory Subalgebras of Affine Kac–Moody Algebras.
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- Communications in Mathematical Physics, 2022, v. 392, n. 1, p. 89, doi. 10.1007/s00220-022-04342-9
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Symmetrisation and the Feigin–Frenkel centre.
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- Compositio Mathematica, 2022, v. 158, n. 3, p. 585, doi. 10.1112/S0010437X22007485
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- Article
Tensor Hierarchy Algebra Extensions of Over-Extended Kac–Moody Algebras.
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- Communications in Mathematical Physics, 2022, v. 389, n. 1, p. 571, doi. 10.1007/s00220-021-04243-3
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2-Verma modules.
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- Journal für die Reine und Angewandte Mathematik, 2022, v. 2022, n. 782, p. 43, doi. 10.1515/crelle-2021-0046
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- Article
Space, Matter and Interactions in a Quantum Early Universe. Part II: Superalgebras and Vertex Algebras.
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- Symmetry (20738994), 2021, v. 13, n. 12, p. 2289, doi. 10.3390/sym13122289
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Space, Matter and Interactions in a Quantum Early Universe Part I: Kac–Moody and Borcherds Algebras.
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- Symmetry (20738994), 2021, v. 13, n. 12, p. 2342, doi. 10.3390/sym13122342
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Fock Space Representation of the Circle Quantum Group.
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- IMRN: International Mathematics Research Notices, 2021, v. 2021, n. 22, p. 17025, doi. 10.1093/imrn/rnz268
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Equitable Presentations for Multiparameter Quantum Groups.
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- Acta Mathematica Sinica, 2021, v. 37, n. 10, p. 1560, doi. 10.1007/s10114-021-0676-z
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Defining relations for quantum symmetric pair coideals of Kac-Moody type.
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- Journal of Combinatorial Algebra, 2021, v. 5, n. 4, p. 297, doi. 10.4171/JCA/57
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Exact symmetries and threshold states in two-dimensional models for QCD.
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- Journal of High Energy Physics, 2021, v. 2021, n. 10, p. 1, doi. 10.1007/JHEP10(2021)096
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Deformed Kac–Moody algebra and noncommutative Fermi theory in two dimensions.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2021, v. 36, n. 26, p. 1, doi. 10.1142/S0217751X2150189X
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Generalised holonomies and K(E<sub>9</sub>).
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- Journal of High Energy Physics, 2021, v. 2021, n. 9, p. 1, doi. 10.1007/JHEP09(2021)054
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Lorentzian Toda field theories.
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- Reviews in Mathematical Physics, 2021, v. 33, n. 6, p. N.PAG, doi. 10.1142/S0129055X21500173
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- Article